Large Numbers

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Which of the following numbers is the largest?

\(\textbf{1})\) \(2^{13500}\)

\(\textbf2)\) \(3^{9000}\)

\(\textbf3)\) \(5^{5500}\)

\(\textbf4)\) \(10^{4000}\)

You can use the fact that \(\log_{10}2\approx0.301\)

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